The Effects of Random and Discrete Sampling when Estimating Continuous--Time Diffusions

Yacine Ait--Sahalia () and Per A. Mykland ()
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Yacine Ait--Sahalia: Princeton University, Princeton, U.S.A., and N.B.E.R
Per A. Mykland: The University of Chicago, Chicago, IL, U.S.A.
Authors registered in the RePEc Author Service: Yacine Ait-Sahalia

Econometrica, 2003, vol. 71, issue 2, 483-549

Abstract: High--frequency financial data are not only discretely sampled in time but the time separating successive observations is often random. We analyze the consequences of this dual feature of the data when estimating a continuous--time model. In particular, we measure the additional effects of the randomness of the sampling intervals over and beyond those due to the discreteness of the data. We also examine the effect of simply ignoring the sampling randomness. We find that in many situations the randomness of the sampling has a larger impact than the discreteness of the data. Copyright The Econometric Society 2003.

Date: 2003
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